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10312436316 = 2237313316217
BaseRepresentation
bin10011001101010101…
…10100101001011100
3222121200200001011210
421212222310221130
5132104440430231
64423143144420
7513360156000
oct114652645134
928550601153
1010312436316
114412113046
121bb9745110
13c84650a30
146db852700
15405526a46
hex266ab4a5c

10312436316 has 192 divisors, whose sum is σ = 31199436800. Its totient is φ = 2631605760.

The previous prime is 10312436311. The next prime is 10312436327. The reversal of 10312436316 is 61363421301.

10312436316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312436311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655640 + ... + 1661856.

Almost surely, 210312436316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312436316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599718400).

10312436316 is an abundant number, since it is smaller than the sum of its proper divisors (20887000484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312436316 is a wasteful number, since it uses less digits than its factorization.

10312436316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 10312436316 its reverse (61363421301), we get a palindrome (71675857617).

The spelling of 10312436316 in words is "ten billion, three hundred twelve million, four hundred thirty-six thousand, three hundred sixteen".